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Ratio Atlas
Atlas › Integer Profiles › Node 192,096
192,096
25 × 32 × 23 × 29
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 3^2 × 23 × 29
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 589,680
Proper Divisor Sum 397,584
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #192091 ← → #192097

Radix Representation

Decimal 192096
Binary 101110111001100000 (18 bits)
Octal 0o567140
Hexadecimal 0x2EE60

Divisor Catalog (60 of 72)

1 2 3 4 6 8 9 12 16 18 23 24 29 32 36 46 48 58 69 72 87 92 96 116 138 144 174 184 207 232 261 276 288 348 368 414 464 522 552 667 696 736 828 928 1,044 1,104 1,334 1,392 1,656 2,001 2,088 2,208 2,668 2,784 3,312 4,002 4,176 5,336 6,003 6,624

Collatz Trajectory (46 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

192,096 96,048 48,024 24,012 12,006 6,003 18,010 9,005 27,016 13,508 6,754 3,377 10,132 5,066 2,533 7,600 3,800 1,900 950 475 1,426 713 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113 340 170 85 256 128 64 32 16 8 4 2 1

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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